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Finding the Third Proportional to 338,721.75 and 464,472.56

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Solution

The third proportional to 338,721.75 and 464,472.56 is: 636,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,721.75 : 464,472.56 = 464,472.56 : x
  2. Step 2: Convert to fraction form
    338,721.75/464,472.56 = 464,472.56/x
  3. Step 3: Cross multiply
    338,721.75x = 464,472.56 × 464,472.56
  4. Step 4: Simplify right side
    338,721.75x = 215,734,761,315.32
  5. Step 5: Solve for x
    x = 215,734,761,315.32/338,721.75
  6. Step 6: Final answer
    x = 636,908.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.